Finding the Third Proportional to 53,535.75 and 116,611.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,535.75 : 116,611.50 = 116,611.50 : x
2. Step 2: Convert to fraction form
   53,535.75/116,611.50 = 116,611.50/x
3. Step 3: Cross multiply
   53,535.75x = 116,611.50 × 116,611.50
4. Step 4: Simplify right side
   53,535.75x = 13,598,241,932.25
5. Step 5: Solve for x
   x = 13,598,241,932.25/53,535.75
6. Step 6: Final answer
   x = 254,003.02